How do you find sin(105°) using the sum formula?

To find sin(105°), use: $$\text{sin}(105°) = \text{sin}(60° + 45°) = \text{sin}(60°)\text{cos}(45°) + \text{cos}(60°)\text{sin}(45°) = \frac{\text{sqrt}(3)}{2} \times \frac{\text{sqrt}(2)}{2} + \frac{1}{2} \times \frac{\text{sqrt}(2)}{2} = \frac{\text{sqrt}(6) + \text{sqrt}(2)}{4}$$ .

What is the formula for tan(A - B)?

The formula for tan(A - B) is: $$\text{tan}(A - B) = \frac{\text{tan}(A) - \text{tan}(B)}{1 + \text{tan}(A)\text{tan}(B)}$$ .

What is the formula for tan(A + B)?

The formula for tan(A + B) is: $$\text{tan}(A + B) = \frac{\text{tan}(A) + \text{tan}(B)}{1 - \text{tan}(A)\text{tan}(B)}$$ .

How do you find sin(2θ) using the double angle formula?

To find sin(2θ), use: $$\text{sin}(2θ) = 2\text{sin}(θ)\text{cos}(θ)$$ .

What is the value of sin(2θ) if cos(θ) = 4/5 and θ is in the fourth quadrant?

If cos(θ) = 4/5, then sin(θ) = -3/5 (since θ is in the fourth quadrant). Thus, sin(2θ) = 2 * (−3/5) * (4/5) = −24/25.

What is the value of cos²x + sin²x?

The value of cos²x + sin²x is always equal to 1.

What is the value of tan(α - β) if tan(α) = 3/4 and tan(β) = -1/2?

Using the formula: $$\text{tan}(α - β) = \frac{\text{tan}(α) - \text{tan}(β)}{1 + \text{tan}(α)\text{tan}(β)} = \frac{\frac{3}{4} - \frac{-1}{2}}{1 + \frac{3}{4} \times \frac{-1}{2}} = \frac{\frac{3}{4} + \frac{2}{4}}{1 - \frac{3}{8}} = \frac{\frac{5}{4}}{\frac{5}{8}} = 2$$ .

Sum/Difference & Double Angle Formulas Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the sum formula for sine?

Back

2.

FLASHCARD QUESTION

Front

What is the difference formula for sine?

Back

3.

FLASHCARD QUESTION

Front

What is the double angle formula for sine?

Back

4.

FLASHCARD QUESTION

Front

What is the sum formula for cosine?

Back

5.

FLASHCARD QUESTION

Front

What is the difference formula for cosine?

Back

6.

FLASHCARD QUESTION

Front

What is the double angle formula for cosine?

Back

7.

FLASHCARD QUESTION

Front

What is the Pythagorean identity?

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Disney descendants flashcard

Flashcard

•

KG

11 questions

Unit 1 | Topic 2 | Key Terms - Flashcards

Flashcard

•

9th - 12th Grade

11 questions

Genetic Engineering Concepts

Flashcard

•

11th Grade - University

15 questions

Unit 4 Test Review

Flashcard

•

10th Grade - University

15 questions

Function Operations and Composite Functions

Flashcard

•

9th Grade - University

8 questions

MAT_8_EF_QN01-QN08

Flashcard

•

8th Grade - University

10 questions

Twelfth Night

Flashcard

•

10th Grade

Popular Resources on Wayground

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Comparing Fractions

Quiz

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Latin Bases claus(clois,clos, clud, clus) and ped

Quiz

•

6th - 8th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

7 questions

The Story of Books

Quiz

•

6th - 8th Grade

Discover more resources for Mathematics

8 questions

2 Step Word Problems

Quiz

•

KG - University

10 questions

Finding Area and Circumference of a Circle

Interactive video

•

6th - 10th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

15 questions

TSI Math Practice Questions

Quiz

•

8th - 12th Grade

24 questions

Identify Properties of Polygons and Quadrilaterals

Quiz

•

9th - 12th Grade

10 questions

Simplifying Expressions with the Distributive Property

Interactive video

•

6th - 10th Grade

25 questions

Simplify Expressions with Exponents

Quiz

•

9th - 12th Grade

20 questions

Basic Trig Ratios

Quiz

•

9th - 12th Grade